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Upper bound on the mass of the type III seesaw triplet in an SU(5) model

2006/12/31 by Ilja Doršner, Ilja Dorsner, P. Perez +1 · 3 citations
Physics and Astronomy · #Bound state #Cutoff #Fermion #Gauge (firearms) #Grand Unified Theory #Higgs boson #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Proton decay #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Seesaw mechanism #Seesaw molecular geometry #Standard Model (mathematical formulation) #Upper and lower bounds #hep-ph

paper · pdf · doi:10.1088/1126-6708/2007/06/029

published as JHEP0706:029,2007 · 13 pages, 2 figures, minor changes introduced to match the JHEP version

arxiv created 2007/06/06 · openalex publication_date 2007/06/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate correlation between gauge coupling unification, fermion mass spectrum, proton decay, perturbativity and ultraviolet cutoff within an SU(5) grand unified theory with minimal scalar content and an extra adjoint representation of fermions. We find strong correlation between the upper bound on the mass of both the bosonic and fermionic SU(2) triplets and the cutoff. The upper bound on the mass of fermionic triplet responsible for Type III seesaw mechanism is 102.1 GeV for the Planck scale cutoff. In that case both the idea of grand unification and nature of seesaw mechanism could be tested at future collider experiments through the production of those particles. Moreover, the prediction for the proton decay lifetime is at most an order of magnitude away from the present experimental limits. If the cutoff is lowered these predictions change significantly. In the most general scenario, if one does (not) neglect a freedom in the quark and lepton mixing angles, the upper bound on the fermionic triplet mass is at 105.4 GeV (1010 GeV). Since the predictions of the model critically depend on the presence of the higher-dimensional operators and corresponding cutoff we address the issue of their possible origin and also propose alternative scenarios that implement the hybrid seesaw framework of the original proposal.

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